On the big quantum cohomology of coadjoint varieties

• Nicolas Perrin ^[1] ; Maxim N. Smirnov ^[2]
  1. [1] Laurent Schwartz Center for Mathematics

     Laurent Schwartz Center for Mathematics

     Arrondissement de Palaiseau, Francia

     
  2. [2] University of Augsburg

     University of Augsburg

     Kreisfreie Stadt Augsburg, Alemania

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 31, Nº. 2, 2025
• Idioma: inglés
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• Resumen

  • This paper is devoted to the study of the quantum cohomology of coadjoint varieties of simple algebraic groups across all Dynkin types. We determine the non-semisimple factors of the small quantum cohomology ring and relate them to ADE-singularities. Moreover, we show that the big quantum cohomology of a coadjoint variety is always generically semisimple even though in most cases the small quantum cohomology is not.